John,
I took up your reference to vol 4 in Chronological ed. - I you can shed
any more light on loops and twists in CPS's way to his latest
existential graps, I would be most grateful.
Greimas, the Lithuanian semiotician I have met and discussed with, used
a square similar to the one in page 397. It turned out that he had never
thought of his semiotic square in terms of triad (or triple) relations.
A square, like the diagram in CSP page 397, can be folded two ways. Then
one gets two triangles. One recto, one verso, each visible at a time,
but not together (the very idea of recto and verso).
My interest lies mainly on the relation of logical negation and other
forms of opposition. Pythagorean oppositions, for example are often
treated as negations, without proper grounds.
Best,
Kirsti Määttänen
John F Sowa kirjoitti 19.5.2018 18:44:
On 5/18/2018 12:54 PM, Matt Faunce wrote:
I've only seen Venn mention Peirce in regard to Peirce's symbolism for
symbolic logic. It's too bad there wasn't more interaction between the
two.
I agree.
After reading your note, I didn't do an exhaustive search, but
I found that Peirce (a) had a high regard for Venn, (b) recognized
the limitations and errors in Venn's writings, and (c) considered
Venn's errors a stimulating starting point for his own thinking.
That led me to Venn's articles from 1880, which may have had a
significant influence on Peirce's thinking about graph logics.
They're in the 1880 proceedings of the Cambridge Philosophical
Society, which can be downloaded from Google Books:
"On the various notations adopted for expressing the common
propositions of Logic", pp. 36-47 (55-66).
This article includes brief excerpts from a large number of
sources, including Frege (1879) and Peirce (1880). But Venn's
comments about Frege's notation were not encouraging. See
the attached FregeByVenn.jpg.
Immediately following that article (pp. 47-59) is Venn's
article "On geometrical diagrams for the representation of
logical propositions." In this one, he compares his own
diagrams with a variety of other representations.
In 1882, Peirce wrote a letter to O. H. Mitchell (Writings,
vol 4, pp. 394 to 399) in which he drew diagrams to represent
the "logic of relatives.
John
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